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The phrase "added on the third" is correct and usable in written English.
It can be used when referring to something that was included or incorporated on a specific date, in this case, the third of a month.
Example: "The new policy changes were added on the third of March, and everyone is expected to comply."
Alternatives: "included on the third" or "incorporated on the third".
Exact(5)
Laminin was added on the third day to promote differentiation.
In some cultures, bromodeoxyuridine (BrdU, Amersham, 1 1000) was added on the third day for 2 hr before the cultures were fixed in 4% paraformaldehyde (30min).
GM-CSF and IL-4 were again added on the third day.
Azithromycin (10 mg/kg/d) was added on the third day.
20 mM of sodium molybdate was added on the third and fourth days of the SHIME run to inhibit SRB activity.
Similar(55)
Today is only 84 overs long here, extra time having been added on the first three days.
A study and home office were added on the first floor, and a lap pool was installed in the expanded yard.
Egan sold the book with twelve chapters, and later added on the thirteenth when she "became really obsessed with the idea of writing in PowerPoint," thanks in large part to the Obama campaign.
Synchronization carriers are added on the first multicarrier symbol but are more sparsely distributed than pilot carriers.
Michael Bates was dismissed before a single run had been added on the fourth day and the wet weather then returned.
Suppose the message signal (o(t)) is trigonometric signal such as (o(t)=0.05sin 60pi t)), which is added on the second state variable of the drive system.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com